Being resourceful

We start with one yellow cube and build around it to make a 3x3x3 cube with red cubes. Then we build around that red cube with blue cubes and so on. How many cubes of each colour have we used?

These points all mark the vertices (corners) of ten hidden squares. Can you find the 10 hidden squares?

This cube has ink on each face which leaves marks on paper as it is rolled. Can you work out what is on each face and the route it has taken?

How much can you read into a T-shirt?

What can you see? What do you notice? What questions can you ask?

How many solutions can you find to this sum? Each of the different letters stands for a different number.

Which of these pocket money systems would you rather have?

How many moves does it take to swap over some red and blue frogs? Do you have a method?

How many different symmetrical shapes can you make by shading triangles or squares?